पृथ्वीचे वस्तुमान ________ आहे.

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RRC Group D Previous Paper 1 (Held On: 17 Sep 2018 Shift 1)
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  1. 6 × 10-23 किलो
  2. 6 × 1023 किलो
  3. 6 × 10-24 किलो
  4. 6 × 1024 किलो

Answer (Detailed Solution Below)

Option 4 : 6 × 1024 किलो
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RRB Group D Full Test 1
100 Qs. 100 Marks 90 Mins

Detailed Solution

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  • पृथ्वीचे वस्तुमान M मानू.
  • पृथ्वीवरील इतर वस्तूचे वस्तुमान m आहे.
  • आपल्याला गुरुत्वाकर्षण स्थिरांकचे मूल्य माहित आहे (G) = 6.67259 × 10-11 Nm2/kg2.
  • दोन वस्तू मधील बलाचे सूत्र आपल्याला माहीत आहे (F) = G m1 m2/r2.
  • आता पृथ्वीची त्रिज्या (r) = 6.3781 × 106 मी.
  • आपल्याला माहित आहे की F = mg
  • आता मूल्ये बदलून, आपल्याला mg = GM m/r2 मिळेल .
  • M = g r2/G

    M = (9.81) (6.3781 × 106)2/6.67259 × 10-11

    M = 6 × 1024 किलो.

    पृथ्वीचे वस्तुमान (M) 6 × 10 24 किलो आहे.

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